Question

The number $\frac{-15}{7}$ on the number line will be represented between which integers?

• A. 0 and 1
• B. -2 and -3
• C. 2 and 3
• D. -2 and -1

Answer 1

The correct option is B -2 and -3

Let's first convert $-\frac{15}{7}$ to mixed fraction.

$\Rightarrow -\frac{15}{7}=-2\frac{1}{7}$

After converting $-\frac{15}{7}$ to mixed fraction we can conclude that $-\frac{15}{7}$ is smaller than -2 and greater than -3.

Hence, $-2>-\frac{15}{7}>-3$